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A029008
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Expansion of 1/((1-x)(1-x^2)(1-x^4)(1-x^7)).
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0
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1, 1, 2, 2, 4, 4, 6, 7, 10, 11, 14, 16, 20, 22, 27, 30, 36, 39, 46, 50, 58, 63, 72, 78, 88, 95, 106, 114, 127, 136, 150, 160, 176, 187, 204, 217, 236, 250, 270, 286, 308, 325, 349, 368, 394, 414, 442, 464, 494, 518
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OFFSET
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0,3
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COMMENTS
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Number of partitions of n into parts 1, 2, 4 and 7. - Ilya Gutkovskiy, May 13 2017
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (1,1,-1,1,-1,-1,2,-1,-1,1,-1,1,1,-1).
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FORMULA
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a(n) = a(n-1)+a(n-2)-a(n-3)+a(n-4)-a(n-5)-a(n-6)+2*a(n-7)-a(n-8)-a(n-9)+a(n-10)-a(n-11)+a(n-12)+a(n-13)-a(n-14). - Wesley Ivan Hurt, May 27 2021
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MATHEMATICA
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CoefficientList[Series[1/((1-x)(1-x^2)(1-x^4)(1-x^7)), {x, 0, 60}], x] (* or *) LinearRecurrence[{1, 1, -1, 1, -1, -1, 2, -1, -1, 1, -1, 1, 1, -1}, {1, 1, 2, 2, 4, 4, 6, 7, 10, 11, 14, 16, 20, 22}, 60] (* Harvey P. Dale, Aug 11 2023 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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